Direction of Final Velocity of Vehicles after Collision Solution

STEP 0: Pre-Calculation Summary
Formula Used
Direction of Final Velocity = atan(Final Velocity after Collision in Y-Direction/Final Velocity after Collision in X-Direction)
θ = atan(Vfy/Vfx)
This formula uses 2 Functions, 3 Variables
Functions Used
tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
atan - Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle., atan(Number)
Variables Used
Direction of Final Velocity - (Measured in Radian) - Direction of Final Velocity is defined as the change in direction of the resultant velocity and this velocity acts in this direction on the vehicles.
Final Velocity after Collision in Y-Direction - (Measured in Meter per Second) - Final Velocity after Collision in Y-Direction is defined as the change in velocity of the vehicle moving in y-direction after its collision.
Final Velocity after Collision in X-Direction - (Measured in Meter per Second) - Final Velocity after Collision in X-Direction is defined as the change in speed of the vehicle moving in x-direction after its collision.
STEP 1: Convert Input(s) to Base Unit
Final Velocity after Collision in Y-Direction: 6.67 Meter per Second --> 6.67 Meter per Second No Conversion Required
Final Velocity after Collision in X-Direction: 4.44 Meter per Second --> 4.44 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
θ = atan(Vfy/Vfx) --> atan(6.67/4.44)
Evaluating ... ...
θ = 0.983486004202849
STEP 3: Convert Result to Output's Unit
0.983486004202849 Radian -->56.3495972510194 Degree (Check conversion here)
FINAL ANSWER
56.3495972510194 56.3496 Degree <-- Direction of Final Velocity
(Calculation completed in 00.004 seconds)

Credits

Created by Syed Adnan
Ramaiah University of Applied Sciences (RUAS), bangalore
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National Institute Of Technology (NIT), Hamirpur
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13 Vehicle Collision Calculators

Kinetic Energy after Collision of Vehicles
Go Kinetic Energy after Collision of Vehicles = (Mass of First Vehicle before Collision/(Mass of First Vehicle before Collision+Mass of Second Vehicle before Collision))*Kinetic Energy before Collision of Vehicles
Velocity of Occupant with Respect to Vehicle after Collision
Go Relative Velocity of Occupant after Collision = Initial Velocity before Collision*sqrt(Stopping Distance of Occupant/Stopping Distance of Vehicle)
Magnitude of Resultant Final Velocity after Collision of Two Vehicles
Go Magnitude of Resultant Final Velocity = sqrt(Final Velocity after Collision in X-Direction^2+Final Velocity after Collision in Y-Direction^2)
Direction of Final Velocity of Vehicles after Collision
Go Direction of Final Velocity = atan(Final Velocity after Collision in Y-Direction/Final Velocity after Collision in X-Direction)
Impact Force on Vehicle after Crash
Go Impact Force on Vehicle after Crash = (0.5*Vehicle Mass*Forward Velocity of Vehicle^2)/(Stopping Distance of Vehicle)
Total Momentum in y-Direction before Collision of Two Vehicles
Go Total Momentum in Y-Direction before Collision = Momentum of First Car before Collision in Y-Dir+Momentum of Second Car before Collision in Y-Dir
Acceleration of Airbag
Go Acceleration of Airbag = (Final Velocity of Airbag^2-Initial Velocity of Airbag^2)/(2*Distance Traveled by Airbag)
Total Momentum in x-Direction before Collision of Two Vehicles
Go Total Momentum in X-Direction before Collision = Total Momentum of First Vehicle in X-Direction+Total Momentum Second Vehicle in X-Direction
Time of Occupant to Stop after Contacting Interiors during Collision
Go Time of Occupant to Stop = sqrt((2*Stopping Distance of Occupant)/Constant Deceleration of Vehicle)
Constant Deceleration of Vehicle during Collision
Go Constant Deceleration of Vehicle = 0.5*(Initial Velocity before Collision^2)/Stopping Distance of Vehicle
Stopping Distance of Vehicle after Collision
Go Stopping Distance of Vehicle = 0.5*Initial Velocity before Collision*Stopping Time of Vehicle
Stopping Time of Vehicle after Collision
Go Stopping Time of Vehicle = Initial Velocity before Collision/Constant Deceleration of Vehicle
Force Exerted on Airbag after Collision
Go Force Exerted on Airbag = Mass of Airbag*Acceleration of Airbag

Direction of Final Velocity of Vehicles after Collision Formula

Direction of Final Velocity = atan(Final Velocity after Collision in Y-Direction/Final Velocity after Collision in X-Direction)
θ = atan(Vfy/Vfx)

What can be the direction of final velocity after collision?

The resultant velocity due to the summation of velocities of x-direction and y-direction will act in a particular direction. This could be found by the Pythagorean theorem by considering the angle between the resultant velocity and the horizontal x-direction. Once this angle is calculated, the direction in which the resultant velocity is acting can be predicted.

How to Calculate Direction of Final Velocity of Vehicles after Collision?

Direction of Final Velocity of Vehicles after Collision calculator uses Direction of Final Velocity = atan(Final Velocity after Collision in Y-Direction/Final Velocity after Collision in X-Direction) to calculate the Direction of Final Velocity, The Direction of final velocity of vehicles after collision formula is defined as the direction of the resultant velocity acting on the two vehicles after their collision. Direction of Final Velocity is denoted by θ symbol.

How to calculate Direction of Final Velocity of Vehicles after Collision using this online calculator? To use this online calculator for Direction of Final Velocity of Vehicles after Collision, enter Final Velocity after Collision in Y-Direction (Vfy) & Final Velocity after Collision in X-Direction (Vfx) and hit the calculate button. Here is how the Direction of Final Velocity of Vehicles after Collision calculation can be explained with given input values -> 3228.594 = atan(6.67/4.44).

FAQ

What is Direction of Final Velocity of Vehicles after Collision?
The Direction of final velocity of vehicles after collision formula is defined as the direction of the resultant velocity acting on the two vehicles after their collision and is represented as θ = atan(Vfy/Vfx) or Direction of Final Velocity = atan(Final Velocity after Collision in Y-Direction/Final Velocity after Collision in X-Direction). Final Velocity after Collision in Y-Direction is defined as the change in velocity of the vehicle moving in y-direction after its collision & Final Velocity after Collision in X-Direction is defined as the change in speed of the vehicle moving in x-direction after its collision.
How to calculate Direction of Final Velocity of Vehicles after Collision?
The Direction of final velocity of vehicles after collision formula is defined as the direction of the resultant velocity acting on the two vehicles after their collision is calculated using Direction of Final Velocity = atan(Final Velocity after Collision in Y-Direction/Final Velocity after Collision in X-Direction). To calculate Direction of Final Velocity of Vehicles after Collision, you need Final Velocity after Collision in Y-Direction (Vfy) & Final Velocity after Collision in X-Direction (Vfx). With our tool, you need to enter the respective value for Final Velocity after Collision in Y-Direction & Final Velocity after Collision in X-Direction and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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